Weak Hopf monoids in braided monoidal categories

Details Weak Hopf monoids in braided monoidal categories Weak Hopf monoids in braided monoidal categories

2008-01-26

arxiv.org/abs/0801.4067v1

Algebra and Number Theory 3 no. 2 (2009) 149-207

Mathematics

Quantum Algebra

45 pages

Scientific paper

We develop the theory of weak bimonoids in braided monoidal categories and
show them to be quantum categories in a certain sense. Weak Hopf monoids are
shown to be quantum groupoids. Each separable Frobenius monoid R leads to a
weak Hopf monoid R \otimes R.

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